Research Projects

20172018Understanding A Fast ContourIntegral Eigensolver for NonHermitian MatricesB.S. Capstone
We examine a new complex contour integralbased eigensolver algorithm using ideas from functional analysis. This eigensolver algorithm extends previous eigensolvers that typically required some special structure, to an eigensolver that works on a more general class of complexvalued matrices.
The algorithm consists of two stages. First, it searches the complex plane for regions dense with eigenvalues. Second, it combs through those regions to find the eigenvalues using a modified form of the FEAST algorithm.
Due to time constraints we were only able to examine the first stage in detail, and for completeness provide a description for the second stage. Our work was exploratory in nature, which in practice consisted of building and testing a Matlab implementation of the first stage.

20182019UndecidedM.S. Thesis